Question

What is a log10 (100)

Answer 1

The value of the given logarithm is;

`\log _(10)100=2`

Step-by-step explanation:

Given the logarithm;

`\log _(10)100`

To solve, we know that 100 is the square of 10.

so we have;

`\log _(10)100=\log _(10)10^2`

And according to the rules of logarithm

`\begin{gathered} \log m^n=n\log m \\ \text{and} \\ \log _nn=1 \end{gathered}`

Applying the two rules;

`\begin{gathered} \log _(10)100=\log _(10)10^2=2\log _(10)10=2*1 \\ \log _(10)100=2 \end{gathered}`

Therefore, the value of the given logarithm is;

`\log _(10)100=2`